| 一类n维欧氏空间上的广义Radon变换的奇异值分解 |
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| 引用本文： | 王金平. 一类n维欧氏空间上的广义Radon变换的奇异值分解[J]. 内蒙古大学学报(自然科学版), 1991, 0(4) |
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| 作者姓名： | 王金平 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 对于广义Radon变换,当它限制在带权函数■(x)的平方可积函数空间时,本文具体给出了它的奇异值分解。由此得到了广义Radon变换的近似反演公式,从而推广了Davison和Grünbaum的工作。
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| 关 键 词： | 广义Radon变换 奇异值分解 Lagurre多项式 球谐函数 |
Singular Value Decomposition for Generalized Radon Transforms in n-Dimensional Euclidean Space |
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| Wang Jinping. Singular Value Decomposition for Generalized Radon Transforms in n-Dimensional Euclidean Space[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 1991, 0(4) |
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| Authors: | Wang Jinping |
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| Affiliation: | Wang Jinping Department of Mathematics |
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| Abstract: | We obtain a singular value decomposition for the generalized Radon transform under the assumption that the transform is restricted to square integrable functions on R with respect to weight function W. (x). Furthermore, an approximation inversion formula about the measured data is also obtained. Thus we gener- alize the results of Davison and Grunbaum. |
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| Keywords: | Generalized Radon transform singular value decomposition Lagurre polynomials spherical harmonics |
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